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Significant Figures

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.5203 0.0025

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.5203 0.00252do not count zeros at the beginning 500

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.5203 0.00252do not count zeros at the beginning 5001do not count end zeros if no decimal 0.02300

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.5203 0.00252do not count zeros at the beginning 5001do not count end zeros if no decimal 0.023004count all other zeros 120035

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.5203 0.00252do not count zeros at the beginning 5001do not count end zeros if no decimal 0.023004count all other zeros 1200356 500.

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.5203 0.00252do not count zeros at the beginning 5001do not count end zeros if no decimal 0.023004count all other zeros 1200356 500.3 2.0 x 10 5

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.5203 0.00252do not count zeros at the beginning 5001do not count end zeros if no decimal 0.023004count all other zeros 1200356 500.3 2.0 x 10 5 2do not expand

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.5002

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.00650

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 5001

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 50014 0.0200300

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 50014 0.02003006 0.02010

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 50014 0.02003006 0.020104 200

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 50014 0.02003006 0.020104 2001 200.

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 50014 0.02003006 0.020104 2001 200.3 2.0 x 10 2

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 50014 0.02003006 0.020104 2001 200.3 2.0 x 10 2 2 2. x 10 2

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.50025 0.006503 50014 0.02003006 0.020104 2001 200.3 2.0 x 10 2 2 2. x 10 2 1

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Types of Numbers Measurements 2.5 cm long Use sigfig rules Defined Numbers I min= 60 s Do not use sigfig rules Countable 25 students Do not use sigfig rules

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Significant figures Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm

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Significant figures Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm3 3 girls

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Significant figures Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm3 3 girlsinfinite 62.33 kJ

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Significant figures Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm3 3 girlsinfinite 62.33 kJ4 1 cm = 10 mm

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Significant figures Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm3 3 girlsinfinite 62.33 kJ4 1 cm = 10 mm infinite 12.3 o C

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Significant figures Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm3 3 girlsinfinite 62.33 kJ4 1 cm = 10 mm infinite 12.3 o C3 200 lb

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Significant figures Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm3 3 girlsinfinite 62.33 kJ4 1 cm = 10 mm infinite 12.3 o C3 200 lb1 1 cm 3 = 1 mL

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Significant figures Exact numbers that are counted or defined and not measured have zero uncertainty and infinite “fig figs”. “sig figs” 2.50 cm3 3 girlsinfinite 62.33 kJ4 1 cm = 10 mm infinite 12.3 o C3 200 lb1 1 cm 3 = 1 mL infinite $75.00

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Significant figures Exact numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm3 3 girlsinfinite 62.33 kJ4 1 cm = 10 mm infinite 12.3 o C3 200 lb1 1 cm 3 = 1 mL infinite $75.00 infinite

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 1. 21.036 +22.1

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 1. 21.036 +22.1??

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 1. 21.036 +22.1?? =43.1the largest decimal place is the first

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 2. 25.654 -22.1?? =

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 2. 25.654 -22.1?? = 3.6the largest decimal place is the first

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 3. 301.2256 - 0.36

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 3. 301.2256 - 0.36 300.87the largest decimal is the second

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 4. 8.053 x 10 7 +2.3x 10 4

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 4. ↓ largest decimal place 8.053 x 10 7 80530000. +2.3x 10 4 23000.

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 4. ↓ largest decimal place 8.053 x 10 7 80530000. +2.3x 10 4 23000. 8.055 x 10 7 80550000.

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 5. 2.463 x 10 -5 +5.006x 10 -2

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 5. 2.463 x 10 -5 0.00002463 +5.006x 10 -2 0.05006 ↑ largest decimal place

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 5. 2.463 x 10 -5 0.00002463 +5.006x 10 -2 0.05006 5.008x 10 -2 0.05008 largest decimal place

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 6. 5.331 x 10 -4 -2.126x 10 -5

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 6. ↓ largest decimal place 5.331 x 10 -4 0.0005331 -2.126x 10 -5 0.00002126

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Adding and Subtraction with Significant Figures When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 6. ↓ largest decimal place 5.331 x 10 -4 0.0005331 -2.126x 10 -5 0.00002126 5.544 x 10 -4 0.0005544

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 1. V=distance time

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 1. V=distance time V=25.3698 m= 2.0 min

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 1. V=distance time V=25.3698 m= 2.0 min 6 sig figs 2 sig figs

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 1. V=distance time V=25.3698 m=13 m/min 2.0 min 6 sig figs 2 sig figs

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 1.Combining numbers- you are as good as your worst number! V=distance time V=25.3698 m=13 m/min 2.0 min 6 sig figs 2 sig figs

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2.

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 2.5463 x6.554x2.3x 5.322 2.3361.57.896

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 2.5463 x6.554x2.3x 5.322 2.3361.57.896 =7.3832

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 2.5463 x6.554x2.3x 5.322 2.3361.57.896 =7.3832 must round to 2 sig figs like

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 2.5463 x6.554x2.3x 5.322 2.3361.57.896 =7.3832 must round to 2 sig figs like =7.4

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 5.33 x 10 -8 x 6.554 x 10 6 x2.31 x 10 -15 2.336 x 10 5 1.53 x 10 -11

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 5.33 x 10 -8 x 6.554 x 10 6 x2.31 x 10 -15 2.336 x 10 5 1.53 x 10 -11 2.26 x 10 -10

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 6.33 x 10 9 x 2.33 x 10 9 x5.66 x 10 -9 x 6.8 x 10 4 6.445 x 10 3 9.666 x 10 -5 5.5 x 10 6

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Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used. 2. 6.33 x 10 9 x 2.33 x 10 9 x5.66 x 10 -9 x 6.8 x 10 4 6.445 x 10 3 9.666 x 10 -5 5.5 x 10 6 1.7 x 10 9 Homework WS # 5

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